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vekshin1
3 years ago
9

(3 x a−3/4)∙1/3 if a=3/8

Mathematics
2 answers:
Dennis_Churaev [7]3 years ago
7 0

Answer:

1 3/8

Step-by-step explanation:

Possible derivation:

d/dx(1/8 (-2 + 3 x))

Factor out constants:

= 1/8 (d/dx(-2 + 3 x))

Differentiate the sum term by term and factor out constants:

= 1/8 d/dx(-2) + 3 d/dx(x)

The derivative of -2 is zero:

= 1/8 (3 (d/dx(x)) + 0)

Simplify the expression:

= 3/8 (d/dx(x))

The derivative of x is 1:

Answer: = 1 3/8

RUDIKE [14]3 years ago
7 0

Answer:

1 3/8

Step-by-step explanation:

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muminat

Answer:

(-6,-14)

Step-by-step explanation:


8 0
3 years ago
A type of organism's cells split every minute. If the organism has 4 cells when the cells begin to split, how many cells will th
snow_lady [41]

Answer:

The total of cells will the organism have after 6 minutes is 252

Step-by-step explanation:

* Lets consider this problem as a geometric series

- There is a constant ratio between each two consecutive numbers

Ex:

# 5  ,  10  ,  20  ,  40  ,  80  ,  ………………………. (×2)

# 5000  ,  1000  ,  200  ,  40  ,  …………………………(÷5)

* General term (nth term) of a Geometric series:

∵ U1 = a  ,  U2  = ar  ,  U3  = ar^2  ,  U4 = ar^3  ,  U5 = ar^4

∴ Un = ar^n-1

- Where r is the ratio between each two consecutive terms and

 n is the position of the number in the series

* The sum of first n terms of a Geometric Progression is calculate from

 Sn = a(1 - r^n)/1 - r  

- In the problem the cell split every minute

- The organism has 4 cells when the cells begin to split

∴ a = 4

# 4 , 8 , 16 , 32 , .......

∴ r = 2

- The total of cells will the organism have after 6 minutes can

  calculate from the rule of the sum

∴ S6 = 4(1 - 2^6)/1 - 2 = 4(1 - 64)/-1 = 4(-63)/-1 = 252 cells

4 0
3 years ago
A fisherman can row upstream at 4mph and downstream at 6mph. He started rowing upstream until he got tired and then started down
ikadub [295]
Total time = upstream time + downstream time
he rowed the same distance both ways.
upstream time = D/4
downstream time = D/6
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where D is the one-way distance. The total distance he rowed is 2*D = 72/5 or 14.4 miles
6 0
3 years ago
Read 3 more answers
2. Sam has two part-time jobs, delivering pizza and mowing lawns. He makes $9/hr delivering pizza and $7/hr mowing lawns. Last w
frutty [35]

Answer:

<h2>22 hours and 10 hours </h2>

Step-by-step explanation:

let the jobs be x and y, so that

x+y=32--------1

9x+7y=248----2

x=32-y

substitute x=32-y for x in equation 2 we have

9(32-y)+7y=248

open bracket we have

288-9y+7y=248

-2y=248-288

-2y=-40

2y=40

divide both sides by 2 we have

y=40/2

y= 10 hours

subtitute y=10 for y in equation 1 to find x

x+10=32--------1

x=32-10

x=22

x=22 hours

4 0
3 years ago
Write each product using an exponent.<br><br> 9 × 9 × 9 × 9
ki77a [65]

Answer:

9^4 is what you’re looking for right?

Step-by-step explanation:

6 0
3 years ago
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